document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171759>Question 1171759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Successive discounts of 30% are followed by 45% equal to what single discount?\r<BR>\n" );
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document.write( "a) 60%<BR>\n" );
document.write( "b) 90%<BR>\n" );
document.write( "c) Cannot be determined<BR>\n" );
document.write( "d) 75%<BR>\n" );
document.write( "e) 539/2000% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796659 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 30% discount makes the price 70% of what it would have been.<BR>\n" );
document.write( "45% discount makes the price 55% of what it would have been.<BR>\n" );
document.write( "70% * 55% makes the price 38.5% of what it would have been.<BR>\n" );
document.write( "100% minus 38.5% gives a discount of 61.5%.<BR>\n" );
document.write( "that's pretty close to 60% discount.<BR>\n" );
document.write( "selection A is the closest to what the answer should be.\r<BR>\n" );
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document.write( "for example:<BR>\n" );
document.write( "assume the price is 1000 dollars.<BR>\n" );
document.write( "30% discount off of that is .3 * 1000 = 300 dollars.<BR>\n" );
document.write( "the price becomes 1000 minus 300 = 700 dollars.<BR>\n" );
document.write( "45% discount off of that is .45 * 700 = 315 dollars.<BR>\n" );
document.write( "the price becomes 700 minus 315 = 385 dollars.<BR>\n" );
document.write( "that's the final price after all the discounts.<BR>\n" );
document.write( "the total discount is 300 + 315 = 615 dollars.<BR>\n" );
document.write( "615 dollars divided by 1000 dollars = .615 = 61.5% total discount.<BR>\n" );
document.write( "that's not exactly equal to any of the selections, but it is closest to 60%.\r<BR>\n" );
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document.write( "the final price was 385 dollars.<BR>\n" );
document.write( "1000 dollars minus 60% of 1000 dollars = 1000 dollars minus 600 dollars = 300 dollars final price.<BR>\n" );
document.write( "that's very close to 385 dollars that we calculated exactly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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